Forgot password? New user? Sign up
Existing user? Log in
How many ordered triples of complex numbers (a,b,c)(a, b, c)(a,b,c) are there such that a3−ba^3-ba3−b, b3−cb^3-cb3−c, and c3−ac^3-ac3−a are rational numbers, and
a2(a4+1)+b2(b4+1)+c2(c4+1)=2(a3b+b3c+c3a)?a^2(a^4+1)+b^2(b^4+1)+c^2(c^4+1)=2(a^3b+b^3c+c^3a)?a2(a4+1)+b2(b4+1)+c2(c4+1)=2(a3b+b3c+c3a)?
This problem is posed by Daniel C.
Problem Loading...
Note Loading...
Set Loading...